Abstract: In this talk we introduce mean curvature flow with some of its applications. This motivates the need for approximation algorithms. One of these is the thresholding scheme by Merriman, Bence and Osher. We analyze a generalization of this to level set mean curvature flow on manifolds with generalized kernels, the median filter scheme. To be precise, we motivate the scheme, present an algorithm for it and show the convergence. In this context, we introduce generalized solution concepts of mean curvature flow. The most important one for us is the viscosity solution. This is joint work with Tim Laux.

Contact: Selim Esedoglu